Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960bi |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
828162662400 = 213 · 37 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3963,-85462] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:90:1] |
Generators of the group modulo torsion |
j |
2305199161/277350 |
j-invariant |
L |
4.7729688200052 |
L(r)(E,1)/r! |
Ω |
0.60645578197809 |
Real period |
R |
0.98378335276916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3870v2 123840gn2 10320x2 |
Quadratic twists by: -4 8 -3 |